Quasinormal bulk-edge characters of gravitons in Nariai geometry

Abstract

In this paper, we evaluate the graviton character partition function in the Nariai geometry using the quasinormal mode spectrum. The character partition function obtained from the quasinormal modes via the Denef--Hartnoll--Sachdev (DHS) prescription defines the bulk contribution to the one-loop determinant. The edge partition function is then computed by subtracting this bulk contribution from the full one-loop partition function on the Euclidean continuation of the Nariai geometry, namely $S^2\times S^2$. We find that the resulting edge partition function can be interpreted as a path integral over lower-spin fields localized on the codimension-two surface.

25 pages, typos corrected, new sections added, version published in Physical Review D